What is area x^3,x^2+x,-1,1.5 ?

The answer to area x^3,x^2+x,-1,1.5 is 1.21934…

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area x^3,x^2+x,-1,1.5

area

x^{3}, x^{2} + x, - 1, 1.5

1.21934 \dots

Solution steps

Apply the area formula:

\int_{- 1}^{1.5} x^{3} - (x^{2} + x) d x

Solve

\int_{- 1}^{1.5} x^{3} - (x^{2} + x) d x : 1.21934 \dots

The area is:

= 1.21934 \dots

(x^{2} + \frac{1}{4})^{\frac{3}{2}}

\frac{d}{d x} (ln (2 x^{2} + 3))

\int 8 x^{\frac{3}{5}} + 7 x^{- \frac{4}{5}} d x

1 + e^{- t}

\frac{4 x - 3}{x}